37082961 has 16 divisors (see below), whose sum is σ = 55036800. Its totient is φ = 24677424.

The previous prime is 37082951. The next prime is 37082963. The reversal of 37082961 is 16928073.

It is not a de Polignac number, because 37082961 - 2⁶ = 37082897 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37082963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21835 + ... + 23471.

It is an arithmetic number, because the mean of its divisors is an integer number (3439800).

Almost surely, 2^37082961 is an apocalyptic number.

It is an amenable number.

37082961 is a deficient number, since it is larger than the sum of its proper divisors (17953839).

37082961 is a wasteful number, since it uses less digits than its factorization.

37082961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2485 (or 2479 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 37082961 is about 6089.5780642012. The cubic root of 37082961 is about 333.4710483181.

The spelling of 37082961 in words is "thirty-seven million, eighty-two thousand, nine hundred sixty-one".