93785013 has 32 divisors (see below), whose sum is σ = 163921920. Its totient is φ = 51859440.

The previous prime is 93785009. The next prime is 93785023. The reversal of 93785013 is 31058739.

It is not a de Polignac number, because 93785013 - 2² = 93785009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93785023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2145 + ... + 13862.

It is an arithmetic number, because the mean of its divisors is an integer number (5122560).

Almost surely, 2^93785013 is an apocalyptic number.

93785013 is a gapful number since it is divisible by the number (93) formed by its first and last digit.

It is an amenable number.

93785013 is a deficient number, since it is larger than the sum of its proper divisors (70136907).

93785013 is a wasteful number, since it uses less digits than its factorization.

93785013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16054 (or 16048 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 93785013 is about 9684.2662602801. The cubic root of 93785013 is about 454.3366948076.

The spelling of 93785013 in words is "ninety-three million, seven hundred eighty-five thousand, thirteen".