36372961 has 9 divisors (see below), whose sum is σ = 37613331. Its totient is φ = 35172792.

The previous prime is 36372937. The next prime is 36372967. The reversal of 36372961 is 16927363.

The square root of 36372961 is 6031.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 32547025 + 3825936 = 5705^2 + 1956^2 .

It is not a de Polignac number, because 36372961 - 2⁵ = 36372929 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 36372961.

It is not an unprimeable number, because it can be changed into a prime (36372967) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 223066 + ... + 223228.

It is an arithmetic number, because the mean of its divisors is an integer number (4179259).

Almost surely, 2^36372961 is an apocalyptic number.

36372961 is the 6031-st square number.

36372961 is the 3016-th centered octagonal number.

It is an amenable number.

36372961 is a deficient number, since it is larger than the sum of its proper divisors (1240370).

36372961 is an frugal number, since it uses more digits than its factorization.

36372961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 200 counting only the distinct ones).

The product of its digits is 40824, while the sum is 37.

The cubic root of 36372961 is about 331.3290782605.

The spelling of 36372961 in words is "thirty-six million, three hundred seventy-two thousand, nine hundred sixty-one".