672637 has 8 divisors (see below), whose sum is σ = 773696. Its totient is φ = 572832.

The previous prime is 672629. The next prime is 672641. The reversal of 672637 is 736276.

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 672637 - 2³ = 672629 is a prime.

It is an Ulam number.

672637 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 672599 and 672608.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 672637.

It is not an unprimeable number, because it can be changed into a prime (672667) 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, 1993 + ... + 2305.

It is an arithmetic number, because the mean of its divisors is an integer number (96712).

2⁶⁷²⁶³⁷ is an apocalyptic number.

It is an amenable number.

672637 is a deficient number, since it is larger than the sum of its proper divisors (101059).

672637 is a wasteful number, since it uses less digits than its factorization.

672637 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627.

The product of its digits is 10584, while the sum is 31.

The square root of 672637 is about 820.1444994634. The cubic root of 672637 is about 87.6180501854.

It can be divided in two parts, 67 and 2637, that added together give a square (2704 = 52²).

The spelling of 672637 in words is "six hundred seventy-two thousand, six hundred thirty-seven".