125864 has 8 divisors (see below), whose sum is σ = 236010. Its totient is φ = 62928.

The previous prime is 125863. The next prime is 125887. The reversal of 125864 is 468521.

It can be written as a sum of positive squares in only one way, i.e., 122500 + 3364 = 350^2 + 58^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a nialpdrome in base 11.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 125864.

It is not an unprimeable number, because it can be changed into a prime (125863) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7859 + ... + 7874.

2¹²⁵⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

125864 is a deficient number, since it is larger than the sum of its proper divisors (110146).

125864 is a wasteful number, since it uses less digits than its factorization.

125864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15739 (or 15735 counting only the distinct ones).

The product of its digits is 1920, while the sum is 26.

The square root of 125864 is about 354.7731669673. The cubic root of 125864 is about 50.1149355937.

It can be divided in two parts, 125 and 864, that added together give a palindrome (989).

The spelling of 125864 in words is "one hundred twenty-five thousand, eight hundred sixty-four".