979627401 has 9 divisors (see below), whose sum is σ = 1415152999. Its totient is φ = 653022336.

The previous prime is 979627357. The next prime is 979627409. The reversal of 979627401 is 104726979.

The square root of 979627401 is 31299.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 632774025 + 346853376 = 25155^2 + 18624^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 979627401 - 2⁹ = 979626889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (979627409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 88681 + ... + 99113.

Almost surely, 2^979627401 is an apocalyptic number.

979627401 is the 31299-th square number.

979627401 is the 15650-th centered octagonal number.

It is an amenable number.

979627401 is a deficient number, since it is larger than the sum of its proper divisors (435525598).

979627401 is an frugal number, since it uses more digits than its factorization.

979627401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20872 (or 10436 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The cubic root of 979627401 is about 993.1624886601.

The spelling of 979627401 in words is "nine hundred seventy-nine million, six hundred twenty-seven thousand, four hundred one".