97126029 has 48 divisors (see below), whose sum is σ = 188383104. Its totient is φ = 46569600.

The previous prime is 97126027. The next prime is 97126037. The reversal of 97126029 is 92062179.

It is not a de Polignac number, because 97126029 - 2¹ = 97126027 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 97125984 and 97126002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97126027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3619 + ... + 14399.

It is an arithmetic number, because the mean of its divisors is an integer number (3924648).

Almost surely, 2^97126029 is an apocalyptic number.

97126029 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

It is an amenable number.

97126029 is a deficient number, since it is larger than the sum of its proper divisors (91257075).

97126029 is a wasteful number, since it uses less digits than its factorization.

97126029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10818 (or 10815 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 97126029 is about 9855.2538780084. The cubic root of 97126029 is about 459.6689947027.

It can be divided in two parts, 971 and 26029, that added together give a cube (27000 = 30³).

The spelling of 97126029 in words is "ninety-seven million, one hundred twenty-six thousand, twenty-nine".