93385692 has 72 divisors (see below), whose sum is σ = 251242992. Its totient is φ = 29145600.

The previous prime is 93385687. The next prime is 93385697. The reversal of 93385692 is 29658339.

It is an interprime number because it is at equal distance from previous prime (93385687) and next prime (93385697).

It is a super-3 number, since 3×93385692³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93385697) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202342 + ... + 202802.

It is an arithmetic number, because the mean of its divisors is an integer number (3489486).

Almost surely, 2^93385692 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93385692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125621496).

93385692 is an abundant number, since it is smaller than the sum of its proper divisors (157857300).

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

93385692 is a wasteful number, since it uses less digits than its factorization.

93385692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 814 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 93385692 is about 9663.6272693021. The cubic root of 93385692 is about 453.6909473955.

The spelling of 93385692 in words is "ninety-three million, three hundred eighty-five thousand, six hundred ninety-two".