123764 has 6 divisors (see below), whose sum is σ = 216594. Its totient is φ = 61880.

The previous prime is 123757. The next prime is 123787. The reversal of 123764 is 467321.

123764 is nontrivially palindromic in base 13.

It can be written as a sum of positive squares in only one way, i.e., 94864 + 28900 = 308^2 + 170^2 .

123764 is a nontrivial repdigit in base 13.

It is a plaindrome in base 13.

It is a nialpdrome in base 13.

It is a zygodrome in base 13.

It is a congruent number.

It is an unprimeable number.

123764 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15467 + ... + 15474.

It is an arithmetic number, because the mean of its divisors is an integer number (36099).

2¹²³⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

123764 is a deficient number, since it is larger than the sum of its proper divisors (92830).

123764 is a wasteful number, since it uses less digits than its factorization.

123764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30945 (or 30943 counting only the distinct ones).

The product of its digits is 1008, while the sum is 23.

The square root of 123764 is about 351.8010801575. The cubic root of 123764 is about 49.8346538155.

The spelling of 123764 in words is "one hundred twenty-three thousand, seven hundred sixty-four".