85462090921 has 9 divisors (see below), whose sum is σ = 85848249879. Its totient is φ = 85077665136.

The previous prime is 85462090919. The next prime is 85462090927. The reversal of 85462090921 is 12909026458.

The square root of 85462090921 is 292339.

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., 82509690025 + 2952400896 = 287245^2 + 54336^2 .

It is not a de Polignac number, because 85462090921 - 2¹ = 85462090919 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85462090927) 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, 82731421 + ... + 82732453.

It is an arithmetic number, because the mean of its divisors is an integer number (9538694431).

Almost surely, 2^85462090921 is an apocalyptic number.

85462090921 is the 292339-th square number.

85462090921 is the 146170-th centered octagonal number.

It is an amenable number.

85462090921 is a deficient number, since it is larger than the sum of its proper divisors (386158958).

85462090921 is an frugal number, since it uses more digits than its factorization.

85462090921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2632 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 46.

The spelling of 85462090921 in words is "eighty-five billion, four hundred sixty-two million, ninety thousand, nine hundred twenty-one".