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36963 = 33372
BaseRepresentation
bin1001000001100011
31212201000
421001203
52140323
6443043
7212523
oct110143
955630
1036963
1125853
1219483
1313a94
14d683
15ae43
hex9063

36963 has 12 divisors (see below), whose sum is σ = 56280. Its totient is φ = 23976.

The previous prime is 36947. The next prime is 36973.

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.

36963 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 36963 - 24 = 36947 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between odd and even.

36963 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (36913) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 981 + ... + 1017.

It is an arithmetic number, because the mean of its divisors is an integer number (4690).

236963 is an apocalyptic number.

36963 is a deficient number, since it is larger than the sum of its proper divisors (19317).

36963 is an equidigital number, since it uses as much as digits as its factorization.

36963 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 40 counting only the distinct ones).

The product of its digits is 2916, while the sum is 27.

The square root of 36963 is about 192.2576396401. The cubic root of 36963 is about 33.3111074058.

Multiplying 36963 by its sum of digits (27), we get a square (998001 = 9992).

36963 divided by its sum of digits (27) gives a square (1369 = 372).

It can be divided in two parts, 36 and 963, that added together give a palindrome (999).

The spelling of 36963 in words is "thirty-six thousand, nine hundred sixty-three".

Divisors: 1 3 9 27 37 111 333 999 1369 4107 12321 36963