37920961 has 8 divisors (see below), whose sum is σ = 40892264. Its totient is φ = 34957440.

The previous prime is 37920943. The next prime is 37920973. The reversal of 37920961 is 16902973.

It can be written as a sum of positive squares in 4 ways, for example, as 3920400 + 34000561 = 1980^2 + 5831^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 37920961 - 2⁵ = 37920929 is a prime.

It is a super-5 number, since 5×37920961⁵ (a number of 39 digits) contains 55555 as substring.

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 37920961.

It is not an unprimeable number, because it can be changed into a prime (37924961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11845 + ... + 14701.

It is an arithmetic number, because the mean of its divisors is an integer number (5111533).

Almost surely, 2^37920961 is an apocalyptic number.

It is an amenable number.

37920961 is a deficient number, since it is larger than the sum of its proper divisors (2971303).

37920961 is a wasteful number, since it uses less digits than its factorization.

37920961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3891.

The product of its (nonzero) digits is 20412, while the sum is 37.

The square root of 37920961 is about 6157.9997564144. Note that the first 3 decimals coincide. The cubic root of 37920961 is about 335.9642848706.

The spelling of 37920961 in words is "thirty-seven million, nine hundred twenty thousand, nine hundred sixty-one".