671957 has 16 divisors (see below), whose sum is σ = 817152. Its totient is φ = 544320.

The previous prime is 671947. The next prime is 671969. The reversal of 671957 is 759176.

It is a cyclic number.

It is not a de Polignac number, because 671957 - 2⁴ = 671941 is a prime.

It is a Duffinian number.

It is a plaindrome in base 9.

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 671957.

It is not an unprimeable number, because it can be changed into a prime (671917) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5228 + ... + 5354.

It is an arithmetic number, because the mean of its divisors is an integer number (51072).

2⁶⁷¹⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

671957 is a deficient number, since it is larger than the sum of its proper divisors (145195).

671957 is a wasteful number, since it uses less digits than its factorization.

671957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188.

The product of its digits is 13230, while the sum is 35.

The square root of 671957 is about 819.7298335427. The cubic root of 671957 is about 87.5885145107.

It can be divided in two parts, 6719 and 57, that added together give a palindrome (6776).

The spelling of 671957 in words is "six hundred seventy-one thousand, nine hundred fifty-seven".