842312007 has 32 divisors (see below), whose sum is σ = 1271001600. Its totient is φ = 551193984.

The previous prime is 842311999. The next prime is 842312011. The reversal of 842312007 is 700213248.

It is not a de Polignac number, because 842312007 - 2³ = 842311999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (842312407) 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, 648783 + ... + 650079.

It is an arithmetic number, because the mean of its divisors is an integer number (39718800).

Almost surely, 2^842312007 is an apocalyptic number.

842312007 is a deficient number, since it is larger than the sum of its proper divisors (428689593).

842312007 is a wasteful number, since it uses less digits than its factorization.

842312007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1732 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 842312007 is about 29022.6119947878. The cubic root of 842312007 is about 944.4036650869.

The spelling of 842312007 in words is "eight hundred forty-two million, three hundred twelve thousand, seven".