97476129 has 15 divisors (see below), whose sum is σ = 145745347. Its totient is φ = 64924848.

The previous prime is 97476091. The next prime is 97476143. The reversal of 97476129 is 92167479.

The square root of 97476129 is 9873.

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., 27720225 + 69755904 = 5265^2 + 8352^2 .

It is not a de Polignac number, because 97476129 - 2⁹ = 97475617 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (97476149) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 88309 + ... + 89405.

Almost surely, 2^97476129 is an apocalyptic number.

97476129 is the 9873-rd square number.

97476129 is the 4937-th centered octagonal number.

It is an amenable number.

97476129 is a deficient number, since it is larger than the sum of its proper divisors (48269218).

97476129 is an frugal number, since it uses more digits than its factorization.

97476129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2206 (or 1100 counting only the distinct ones).

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

The cubic root of 97476129 is about 460.2206392699.

It can be divided in two parts, 9747 and 6129, that added together give a square (15876 = 126²).

The spelling of 97476129 in words is "ninety-seven million, four hundred seventy-six thousand, one hundred twenty-nine".