97742333 has 16 divisors (see below), whose sum is σ = 112155120. Its totient is φ = 84883968.

The previous prime is 97742329. The next prime is 97742369. The reversal of 97742333 is 33324779.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 23833924 + 73908409 = 4882^2 + 8597^2 .

It is not a de Polignac number, because 97742333 - 2² = 97742329 is a prime.

It is a super-4 number, since 4×97742333⁴ (a number of 33 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97742833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36041 + ... + 38657.

It is an arithmetic number, because the mean of its divisors is an integer number (7009695).

Almost surely, 2^97742333 is an apocalyptic number.

It is an amenable number.

97742333 is a deficient number, since it is larger than the sum of its proper divisors (14412787).

97742333 is a wasteful number, since it uses less digits than its factorization.

97742333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2673 (or 2647 counting only the distinct ones).

The product of its digits is 95256, while the sum is 38.

The square root of 97742333 is about 9886.4722221832. The cubic root of 97742333 is about 460.6392074510.

The spelling of 97742333 in words is "ninety-seven million, seven hundred forty-two thousand, three hundred thirty-three".