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970125 = 35313199
BaseRepresentation
bin11101100110110001101
31211021202120
43230312031
5222021000
632443153
711150232
oct3546615
91737676
10970125
11602962
123a94b9
1327c750
141b3789
151426a0
hexecd8d

970125 has 32 divisors (see below), whose sum is σ = 1747200. Its totient is φ = 475200.

The previous prime is 970111. The next prime is 970133. The reversal of 970125 is 521079.

It is not a de Polignac number, because 970125 - 26 = 970061 is a prime.

It is a super-2 number, since 2×9701252 = 1882285031250, which contains 22 as substring.

970125 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 970095 and 970104.

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 970125.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4776 + ... + 4974.

It is an arithmetic number, because the mean of its divisors is an integer number (54600).

2970125 is an apocalyptic number.

It is an amenable number.

970125 is a deficient number, since it is larger than the sum of its proper divisors (777075).

970125 is a wasteful number, since it uses less digits than its factorization.

970125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 970125 is about 984.9492372706. The cubic root of 970125 is about 98.9940818827.

The spelling of 970125 in words is "nine hundred seventy thousand, one hundred twenty-five".

Divisors: 1 3 5 13 15 25 39 65 75 125 195 199 325 375 597 975 995 1625 2587 2985 4875 4975 7761 12935 14925 24875 38805 64675 74625 194025 323375 970125