93792101 has 8 divisors (see below), whose sum is σ = 101082744. Its totient is φ = 86512320.

The previous prime is 93792089. The next prime is 93792103. The reversal of 93792101 is 10129739.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8673025 + 85119076 = 2945^2 + 9226^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 93792101 - 2¹⁰ = 93791077 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93792103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29111 + ... + 32171.

It is an arithmetic number, because the mean of its divisors is an integer number (12635343).

Almost surely, 2^93792101 is an apocalyptic number.

It is an amenable number.

93792101 is a deficient number, since it is larger than the sum of its proper divisors (7290643).

93792101 is a wasteful number, since it uses less digits than its factorization.

93792101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5431.

The product of its (nonzero) digits is 3402, while the sum is 32.

The square root of 93792101 is about 9684.6322077816. The cubic root of 93792101 is about 454.3481403370.

The spelling of 93792101 in words is "ninety-three million, seven hundred ninety-two thousand, one hundred one".