37564993 has 2 divisors, whose sum is σ = 37564994. Its totient is φ = 37564992.

The previous prime is 37564991. The next prime is 37564999. The reversal of 37564993 is 39946573.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31047184 + 6517809 = 5572^2 + 2553^2 .

It is a cyclic number.

It is not a de Polignac number, because 37564993 - 2¹ = 37564991 is a prime.

It is a super-2 number, since 2×37564993² = 2822257398180098, which contains 22 as substring.

Together with 37564991, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (37564991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18782496 + 18782497.

It is an arithmetic number, because the mean of its divisors is an integer number (18782497).

Almost surely, 2^37564993 is an apocalyptic number.

It is an amenable number.

37564993 is a deficient number, since it is larger than the sum of its proper divisors (1).

37564993 is an equidigital number, since it uses as much as digits as its factorization.

37564993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 612360, while the sum is 46.

The square root of 37564993 is about 6129.0287158733. The cubic root of 37564993 is about 334.9097343495.

The spelling of 37564993 in words is "thirty-seven million, five hundred sixty-four thousand, nine hundred ninety-three".