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972130041 = 321925472
BaseRepresentation
bin111001111100011…
…000011011111001
32111202020022201100
4321330120123321
53442331130131
6240244042013
733042653241
oct7174303371
92452208640
10972130041
11459818763
12231693309
1312652c89c
1493174b21
155a5287e6
hex39f186f9

972130041 has 27 divisors (see below), whose sum is σ = 1484696421. Its totient is φ = 612854424.

The previous prime is 972130039. The next prime is 972130063. The reversal of 972130041 is 140031279.

The square root of 972130041 is 31179.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 972130041 - 21 = 972130039 is a prime.

It is a super-2 number, since 2×9721300412 = 1890073633229323362, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 972129987 and 972130014.

It is not an unprimeable number, because it can be changed into a prime (972130031) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1776930 + ... + 1777476.

Almost surely, 2972130041 is an apocalyptic number.

972130041 is the 31179-th square number.

972130041 is the 15590-th centered octagonal number.

It is an amenable number.

972130041 is a deficient number, since it is larger than the sum of its proper divisors (512566380).

972130041 is an equidigital number, since it uses as much as digits as its factorization.

972130041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 569 counting only the distinct ones).

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

The cubic root of 972130041 is about 990.6223482048.

The spelling of 972130041 in words is "nine hundred seventy-two million, one hundred thirty thousand, forty-one".

Divisors: 1 3 9 19 57 171 361 547 1083 1641 3249 4923 10393 31179 93537 197467 299209 592401 897627 1777203 2692881 5684971 17054913 51164739 108014449 324043347 972130041