972121353 has 32 divisors (see below), whose sum is σ = 1570947840. Its totient is φ = 521994240.

The previous prime is 972121349. The next prime is 972121411. The reversal of 972121353 is 353121279.

972121353 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 972121353 - 2² = 972121349 is a prime.

It is not an unprimeable number, because it can be changed into a prime (972121153) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 272763 + ... + 276303.

It is an arithmetic number, because the mean of its divisors is an integer number (49092120).

Almost surely, 2^972121353 is an apocalyptic number.

It is an amenable number.

972121353 is a deficient number, since it is larger than the sum of its proper divisors (598826487).

972121353 is a wasteful number, since it uses less digits than its factorization.

972121353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4337.

The product of its digits is 11340, while the sum is 33.

The square root of 972121353 is about 31178.8606751433. The cubic root of 972121353 is about 990.6193971070.

The spelling of 972121353 in words is "nine hundred seventy-two million, one hundred twenty-one thousand, three hundred fifty-three".