312401601 has 24 divisors (see below), whose sum is σ = 481877760. Its totient is φ = 194594400.

The previous prime is 312401563. The next prime is 312401611. The reversal of 312401601 is 106104213.

It is a happy number.

It is not a de Polignac number, because 312401601 - 2⁷ = 312401473 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (312401611) 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, 11215 + ... + 27396.

It is an arithmetic number, because the mean of its divisors is an integer number (20078240).

Almost surely, 2^312401601 is an apocalyptic number.

312401601 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

312401601 is a deficient number, since it is larger than the sum of its proper divisors (169476159).

312401601 is a wasteful number, since it uses less digits than its factorization.

312401601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38677 (or 38674 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 312401601 is about 17674.8861665358. The cubic root of 312401601 is about 678.5331710772.

Adding to 312401601 its reverse (106104213), we get a palindrome (418505814).

The spelling of 312401601 in words is "three hundred twelve million, four hundred one thousand, six hundred one".