976401 has 24 divisors (see below), whose sum is σ = 1532960. Its totient is φ = 613872.

The previous prime is 976369. The next prime is 976403. The reversal of 976401 is 104679.

976401 = T₁₁₃ + T₁₁₄ + ... + T₁₉₃.

976401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 976401 - 2⁵ = 976369 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 976401.

It is not an unprimeable number, because it can be changed into a prime (976403) 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, 22686 + ... + 22728.

2⁹⁷⁶⁴⁰¹ is an apocalyptic number.

It is an amenable number.

976401 is a deficient number, since it is larger than the sum of its proper divisors (556559).

976401 is a wasteful number, since it uses less digits than its factorization.

976401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 976401 is about 988.1300521692. The cubic root of 976401 is about 99.2070963207.

976401 divided by its sum of digits (27) gives a palindrome (36163).

The spelling of 976401 in words is "nine hundred seventy-six thousand, four hundred one".