Search a number
-
+
32706961 = 72192432
BaseRepresentation
bin111110011000…
…1000110010001
32021112200111221
41330301012101
531333110321
63125005041
7545001400
oct174610621
967480457
1032706961
111750a251
12ab53781
136a12141
1444b5637
152d10e41
hex1f31191

32706961 has 27 divisors (see below), whose sum is σ = 41110281. Its totient is φ = 25941384.

The previous prime is 32706913. The next prime is 32706967. The reversal of 32706961 is 16960723.

The square root of 32706961 is 5719.

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

It is not a de Polignac number, because 32706961 - 215 = 32674193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (32706967) 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, 760606 + ... + 760648.

It is an arithmetic number, because the mean of its divisors is an integer number (1522603).

Almost surely, 232706961 is an apocalyptic number.

32706961 is the 5719-th square number.

32706961 is the 2860-th centered octagonal number.

It is an amenable number.

32706961 is a deficient number, since it is larger than the sum of its proper divisors (8403320).

32706961 is an equidigital number, since it uses as much as digits as its factorization.

32706961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 34.

The cubic root of 32706961 is about 319.8011818371.

The spelling of 32706961 in words is "thirty-two million, seven hundred six thousand, nine hundred sixty-one".

Divisors: 1 7 19 43 49 133 301 361 817 931 1849 2107 2527 5719 12943 15523 17689 35131 40033 90601 108661 245917 667489 760627 1721419 4672423 32706961