36930 has 16 divisors (see below), whose sum is σ = 88704. Its totient is φ = 9840.

The previous prime is 36929. The next prime is 36931. The reversal of 36930 is 3963.

It is an interprime number because it is at equal distance from previous prime (36929) and next prime (36931).

It is a junction number, because it is equal to n+sod(n) for n = 36897 and 36906.

It is not an unprimeable number, because it can be changed into a prime (36931) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 586 + ... + 645.

It is an arithmetic number, because the mean of its divisors is an integer number (5544).

2³⁶⁹³⁰ is an apocalyptic number.

36930 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

36930 is an abundant number, since it is smaller than the sum of its proper divisors (51774).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44352).

36930 is a wasteful number, since it uses less digits than its factorization.

36930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241.

The product of its (nonzero) digits is 486, while the sum is 21.

The square root of 36930 is about 192.1717981391. The cubic root of 36930 is about 33.3011912388.

The spelling of 36930 in words is "thirty-six thousand, nine hundred thirty".