37052961 has 16 divisors (see below), whose sum is σ = 54433728. Its totient is φ = 22232000.

The previous prime is 37052929. The next prime is 37052969. The reversal of 37052961 is 16925073.

It is a cyclic number.

It is not a de Polignac number, because 37052961 - 2⁵ = 37052929 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (37052969) 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, 2226 + ... + 8891.

It is an arithmetic number, because the mean of its divisors is an integer number (3402108).

Almost surely, 2^37052961 is an apocalyptic number.

It is an amenable number.

37052961 is a deficient number, since it is larger than the sum of its proper divisors (17380767).

37052961 is a wasteful number, since it uses less digits than its factorization.

37052961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11232.

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 37052961 is about 6087.1143409665. The cubic root of 37052961 is about 333.3810983774.

It can be divided in two parts, 3705 and 2961, that added together give a palindrome (6666).

The spelling of 37052961 in words is "thirty-seven million, fifty-two thousand, nine hundred sixty-one".