637967 has 8 divisors (see below), whose sum is σ = 708480. Its totient is φ = 569560.

The previous prime is 637939. The next prime is 638023. The reversal of 637967 is 769736.

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 637967 - 2⁸ = 637711 is a prime.

It is an Ulam number.

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 637967.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (637937) 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 in 7 ways as a sum of consecutive naturals, for example, 158 + ... + 1140.

It is an arithmetic number, because the mean of its divisors is an integer number (88560).

2⁶³⁷⁹⁶⁷ is an apocalyptic number.

637967 is a deficient number, since it is larger than the sum of its proper divisors (70513).

637967 is a wasteful number, since it uses less digits than its factorization.

637967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053.

The product of its digits is 47628, while the sum is 38.

The square root of 637967 is about 798.7283643392. The cubic root of 637967 is about 86.0860415248.

Subtracting 637967 from its reverse (769736), we obtain a square (131769 = 363²).

It can be divided in two parts, 6379 and 67, that added together give a palindrome (6446).

The spelling of 637967 in words is "six hundred thirty-seven thousand, nine hundred sixty-seven".