97962007 has 32 divisors (see below), whose sum is σ = 124104960. Its totient is φ = 75947520.

The previous prime is 97961957. The next prime is 97962013. The reversal of 97962007 is 70026979.

It is not a de Polignac number, because 97962007 - 2⁷ = 97961879 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 (97962707) 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, 143088 + ... + 143770.

It is an arithmetic number, because the mean of its divisors is an integer number (3878280).

Almost surely, 2^97962007 is an apocalyptic number.

97962007 is a deficient number, since it is larger than the sum of its proper divisors (26142953).

97962007 is a wasteful number, since it uses less digits than its factorization.

97962007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783.

The product of its (nonzero) digits is 47628, while the sum is 40.

The square root of 97962007 is about 9897.5758143093. The cubic root of 97962007 is about 460.9840418089.

The spelling of 97962007 in words is "ninety-seven million, nine hundred sixty-two thousand, seven".