376712 has 36 divisors (see below), whose sum is σ = 849015. Its totient is φ = 156240.

The previous prime is 376709. The next prime is 376721. The reversal of 376712 is 217673.

376712 = 64² + 65² + ... + 111².

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 188356 + 188356 = 434^2 + 434^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=434.

It is an Ulam number.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 376712.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 12137 + ... + 12167.

2³⁷⁶⁷¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 376712

376712 is an abundant number, since it is smaller than the sum of its proper divisors (472303).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

376712 is a wasteful number, since it uses less digits than its factorization.

376712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 40 counting only the distinct ones).

The product of its digits is 1764, while the sum is 26.

The square root of 376712 is about 613.7686860699. The cubic root of 376712 is about 72.2220511063. Note that the first 3 decimals are identical.

It can be divided in two parts, 37671 and 2, that added together give a palindrome (37673).

The spelling of 376712 in words is "three hundred seventy-six thousand, seven hundred twelve".