36992 has 24 divisors (see below), whose sum is σ = 78285. Its totient is φ = 17408.

The previous prime is 36979. The next prime is 36997. The reversal of 36992 is 29963.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 33856 + 3136 = 184^2 + 56^2 .

It is an ABA number since it can be written as A⋅B^{A}, here for A=2, B=136.

36992 is a Rhonda number in base 6.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 36992.

It is not an unprimeable number, because it can be changed into a prime (36997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 2168 + ... + 2184.

2^{36992} is an apocalyptic number.

36992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36992

36992 is an abundant number, since it is smaller than the sum of its proper divisors (41293).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

36992 is an equidigital number, since it uses as much as digits as its factorization.

36992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 19 counting only the distinct ones).

The product of its digits is 2916, while the sum is 29.

The square root of 36992 is about 192.3330444827. Note that the first 3 decimals coincide. The cubic root of 36992 is about 33.3198167420.

Subtracting from 36992 its sum of digits (29), we obtain a palindrome (36963).

The spelling of 36992 in words is "thirty-six thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 289 544 578 1088 1156 2176 2312 4624 9248 18496 36992

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