396101693 has 12 divisors (see below), whose sum is σ = 430558740. Its totient is φ = 364231296.

The previous prime is 396101677. The next prime is 396101711.

396101693 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 6 ways, for example, as 45738169 + 350363524 = 6763^2 + 18718^2 .

It is not a de Polignac number, because 396101693 - 2⁴ = 396101677 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396101623) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41105 + ... + 49817.

It is an arithmetic number, because the mean of its divisors is an integer number (35879895).

Almost surely, 2^396101693 is an apocalyptic number.

It is an amenable number.

396101693 is a deficient number, since it is larger than the sum of its proper divisors (34457047).

396101693 is a wasteful number, since it uses less digits than its factorization.

396101693 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9008 (or 8995 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 38.

The square root of 396101693 is about 19902.3037108773. The cubic root of 396101693 is about 734.4049006277.

The spelling of 396101693 in words is "three hundred ninety-six million, one hundred one thousand, six hundred ninety-three".