82885346931321 has 45 divisors (see below), whose sum is σ = 136097173053919. Its totient is φ = 50232997346400.

The previous prime is 82885346931319. The next prime is 82885346931371. The reversal of 82885346931321 is 12313964358828.

The square root of 82885346931321 is 9104139.

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

82885346931321 is a `hidden beast` number, since 8 + 2 + 8 + 8 + 534 + 6 + 93 + 1 + 3 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 27283270308921 + 55602076622400 = 5223339^2 + 7456680^2 .

It is not a de Polignac number, because 82885346931321 - 2¹ = 82885346931319 is a prime.

It is a super-2 number, since 2×82885346931321² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82885346931371) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 901263781 + ... + 901355741.

Almost surely, 2^{82885346931321} is an apocalyptic number.

82885346931321 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

82885346931321 is the 9104139-th square number.

82885346931321 is the 4552070-th centered octagonal number.

It is an amenable number.

82885346931321 is a deficient number, since it is larger than the sum of its proper divisors (53211826122598).

82885346931321 is an frugal number, since it uses more digits than its factorization.

82885346931321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183956 (or 91975 counting only the distinct ones).

The product of its digits is 59719680, while the sum is 63.

The spelling of 82885346931321 in words is "eighty-two trillion, eight hundred eighty-five billion, three hundred forty-six million, nine hundred thirty-one thousand, three hundred twenty-one".