185349972 has 24 divisors (see below), whose sum is σ = 433169856. Its totient is φ = 61685248.

The previous prime is 185349953. The next prime is 185349977. The reversal of 185349972 is 279943581.

It is a super-2 number, since 2×185349972² = 68709224240801568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (185349977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4173 + ... + 19700.

It is an arithmetic number, because the mean of its divisors is an integer number (18048744).

Almost surely, 2^185349972 is an apocalyptic number.

185349972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

185349972 is an abundant number, since it is smaller than the sum of its proper divisors (247819884).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

185349972 is a wasteful number, since it uses less digits than its factorization.

185349972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24527 (or 24525 counting only the distinct ones).

The product of its digits is 544320, while the sum is 48.

The square root of 185349972 is about 13614.3296566522. The cubic root of 185349972 is about 570.1610009956.

The spelling of 185349972 in words is "one hundred eighty-five million, three hundred forty-nine thousand, nine hundred seventy-two".