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164075653 = 7173179563
BaseRepresentation
bin10011100011110…
…01100010000101
3102102201220111001
421301321202011
5314000410103
624140413301
74031422450
oct1161714205
9372656431
10164075653
1184686515
1246b47231
1327cb98b1
1417b10497
15e61001d
hex9c79885

164075653 has 32 divisors (see below), whose sum is σ = 207912960. Its totient is φ = 126247680.

The previous prime is 164075647. The next prime is 164075677. The reversal of 164075653 is 356570461.

It is a cyclic number.

It is not a de Polignac number, because 164075653 - 29 = 164075141 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164075633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 291150 + ... + 291712.

It is an arithmetic number, because the mean of its divisors is an integer number (6497280).

Almost surely, 2164075653 is an apocalyptic number.

It is an amenable number.

164075653 is a deficient number, since it is larger than the sum of its proper divisors (43837307).

164075653 is a wasteful number, since it uses less digits than its factorization.

164075653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697.

The product of its (nonzero) digits is 75600, while the sum is 37.

The square root of 164075653 is about 12809.2018877056. The cubic root of 164075653 is about 547.4545216354.

The spelling of 164075653 in words is "one hundred sixty-four million, seventy-five thousand, six hundred fifty-three".

Divisors: 1 7 17 31 79 119 217 527 553 563 1343 2449 3689 3941 9401 9571 17143 17453 41633 44477 66997 122171 291431 296701 311339 756109 1378787 2076907 5292763 9651509 23439379 164075653