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970137 = 3472959
BaseRepresentation
bin11101100110110011001
31211021210000
43230312121
5222021022
632443213
711150250
oct3546631
91737700
10970137
11602973
123a9509
1327c75c
141b3797
151426ac
hexecd99

970137 has 40 divisors (see below), whose sum is σ = 1742400. Its totient is φ = 526176.

The previous prime is 970133. The next prime is 970147. The reversal of 970137 is 731079.

It is not a de Polignac number, because 970137 - 22 = 970133 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 970137.

It is not an unprimeable number, because it can be changed into a prime (970133) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16414 + ... + 16472.

It is an arithmetic number, because the mean of its divisors is an integer number (43560).

2970137 is an apocalyptic number.

It is an amenable number.

970137 is a deficient number, since it is larger than the sum of its proper divisors (772263).

970137 is a wasteful number, since it uses less digits than its factorization.

970137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 1323, while the sum is 27.

The square root of 970137 is about 984.9553289363. The cubic root of 970137 is about 98.9944900515.

It can be divided in two parts, 97013 and 7, that added together give a triangular number (97020 = T440).

The spelling of 970137 in words is "nine hundred seventy thousand, one hundred thirty-seven".

Divisors: 1 3 7 9 21 27 29 59 63 81 87 177 189 203 261 413 531 567 609 783 1239 1593 1711 1827 2349 3717 4779 5133 5481 11151 11977 15399 16443 33453 35931 46197 107793 138591 323379 970137