37920053 has 8 divisors (see below), whose sum is σ = 38441400. Its totient is φ = 37402560.

The previous prime is 37920049. The next prime is 37920059. The reversal of 37920053 is 35002973.

It can be written as a sum of positive squares in 4 ways, for example, as 1643524 + 36276529 = 1282^2 + 6023^2 .

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 37920053 - 2² = 37920049 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 37919998 and 37920025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37920059) 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, 22583 + ... + 24203.

It is an arithmetic number, because the mean of its divisors is an integer number (4805175).

Almost surely, 2^37920053 is an apocalyptic number.

It is an amenable number.

37920053 is a deficient number, since it is larger than the sum of its proper divisors (521347).

37920053 is a wasteful number, since it uses less digits than its factorization.

37920053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1927.

The product of its (nonzero) digits is 5670, while the sum is 29.

The square root of 37920053 is about 6157.9260307347. The cubic root of 37920053 is about 335.9616033457.

The spelling of 37920053 in words is "thirty-seven million, nine hundred twenty thousand, fifty-three".