971939430 has 192 divisors, whose sum is σ = 3176409600. Its totient is φ = 200309760.

The previous prime is 971939417. The next prime is 971939443. The reversal of 971939430 is 34939179.

It is an interprime number because it is at equal distance from previous prime (971939417) and next prime (971939443).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 962766 + ... + 963774.

It is an arithmetic number, because the mean of its divisors is an integer number (16543800).

Almost surely, 2^971939430 is an apocalyptic number.

971939430 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 971939430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1588204800).

971939430 is an abundant number, since it is smaller than the sum of its proper divisors (2204470170).

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

971939430 is a wasteful number, since it uses less digits than its factorization.

971939430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The square root of 971939430 is about 31175.9431292784. The cubic root of 971939430 is about 990.5575983425.

The spelling of 971939430 in words is "nine hundred seventy-one million, nine hundred thirty-nine thousand, four hundred thirty".