92251305441 has 27 divisors (see below), whose sum is σ = 134413512051. Its totient is φ = 60969344544.

The previous prime is 92251305439. The next prime is 92251305467. The reversal of 92251305441 is 14450315229.

The square root of 92251305441 is 303729.

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

92251305441 is a `hidden beast` number, since 92 + 2 + 513 + 0 + 54 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 54188856225 + 38062449216 = 232785^2 + 195096^2 .

It is not a de Polignac number, because 92251305441 - 2¹ = 92251305439 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 92251305396 and 92251305405.

It is not an unprimeable number, because it can be changed into a prime (92251305241) 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, 124832250 + ... + 124832988.

Almost surely, 2^92251305441 is an apocalyptic number.

92251305441 is the 303729-th square number.

92251305441 is the 151865-th centered octagonal number.

It is an amenable number.

92251305441 is a deficient number, since it is larger than the sum of its proper divisors (42162206610).

92251305441 is an frugal number, since it uses more digits than its factorization.

92251305441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1758 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Multiplying 92251305441 by its sum of digits (36), we get a square (3321046995876 = 1822374²).

The spelling of 92251305441 in words is "ninety-two billion, two hundred fifty-one million, three hundred five thousand, four hundred forty-one".