970830 has 96 divisors (see below), whose sum is σ = 3055104. Its totient is φ = 209088.

The previous prime is 970829. The next prime is 970847. The reversal of 970830 is 38079.

970830 = T₁₉ + T₂₀ + ... + T₁₇₉.

It is a happy number.

970830 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 970794 and 970803.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 970830.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14457 + ... + 14523.

It is an arithmetic number, because the mean of its divisors is an integer number (31824).

2⁹⁷⁰⁸³⁰ is an apocalyptic number.

970830 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 970830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1527552).

970830 is an abundant number, since it is smaller than the sum of its proper divisors (2084274).

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

970830 is a wasteful number, since it uses less digits than its factorization.

970830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 970830 is about 985.3070587385. The cubic root of 970830 is about 99.0180560883.

The spelling of 970830 in words is "nine hundred seventy thousand, eight hundred thirty".