36954 has 12 divisors (see below), whose sum is σ = 80106. Its totient is φ = 12312.

The previous prime is 36947. The next prime is 36973. The reversal of 36954 is 45963.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 31329 + 5625 = 177^2 + 75^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36954.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1009 + ... + 1044.

2³⁶⁹⁵⁴ is an apocalyptic number.

36954 is an abundant number, since it is smaller than the sum of its proper divisors (43152).

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

36954 is a wasteful number, since it uses less digits than its factorization.

36954 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2061 (or 2058 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 36954 is about 192.2342321232. The cubic root of 36954 is about 33.3084035821.

Subtracting 36954 from its reverse (45963), we obtain a palindrome (9009).

It can be divided in two parts, 36 and 954, that added together give a triangular number (990 = T₄₄).

The spelling of 36954 in words is "thirty-six thousand, nine hundred fifty-four".