684957 has 24 divisors (see below), whose sum is σ = 1136064. Its totient is φ = 359424.

The previous prime is 684949. The next prime is 684961. The reversal of 684957 is 759486.

It is not a de Polignac number, because 684957 - 2³ = 684949 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (60480) is a multiple of the sum of its prime divisors (216).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (684977) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3453 + ... + 3645.

It is an arithmetic number, because the mean of its divisors is an integer number (47336).

2⁶⁸⁴⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

684957 is a deficient number, since it is larger than the sum of its proper divisors (451107).

684957 is a wasteful number, since it uses less digits than its factorization.

684957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 216 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 684957 is about 827.6212902046. The cubic root of 684957 is about 88.1497536217.

Subtracting 684957 from its reverse (759486), we obtain a square (74529 = 273²).

The spelling of 684957 in words is "six hundred eighty-four thousand, nine hundred fifty-seven".