84832970121 has 27 divisors (see below), whose sum is σ = 130191340903. Its totient is φ = 53219209920.

The previous prime is 84832970063. The next prime is 84832970129. The reversal of 84832970121 is 12107923848.

It is a happy number.

The square root of 84832970121 is 291261.

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., 66046430025 + 18786540096 = 256995^2 + 137064^2 .

It is not a de Polignac number, because 84832970121 - 2⁷ = 84832969993 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 (84832970129) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14851456 + ... + 14857166.

Almost surely, 2^84832970121 is an apocalyptic number.

84832970121 is the 291261-st square number.

84832970121 is the 145631-st centered octagonal number.

It is an amenable number.

84832970121 is a deficient number, since it is larger than the sum of its proper divisors (45358370782).

84832970121 is an frugal number, since it uses more digits than its factorization.

84832970121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11462 (or 5731 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 84832970121 in words is "eighty-four billion, eight hundred thirty-two million, nine hundred seventy thousand, one hundred twenty-one".