97001960 has 64 divisors (see below), whose sum is σ = 239112000. Its totient is φ = 35123200.

The previous prime is 97001951. The next prime is 97001969. The reversal of 97001960 is 6910079.

It is an interprime number because it is at equal distance from previous prime (97001951) and next prime (97001969).

It is not an unprimeable number, because it can be changed into a prime (97001969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197315 + ... + 197805.

It is an arithmetic number, because the mean of its divisors is an integer number (3736125).

Almost surely, 2^97001960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97001960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119556000).

97001960 is an abundant number, since it is smaller than the sum of its proper divisors (142110040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

97001960 is a wasteful number, since it uses less digits than its factorization.

97001960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 958 counting only the distinct ones).

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

The square root of 97001960 is about 9848.9573052176. The cubic root of 97001960 is about 459.4731839125.

It can be divided in two parts, 970019 and 60, that added together give a palindrome (970079).

The spelling of 97001960 in words is "ninety-seven million, one thousand, nine hundred sixty".