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2961961 = 17237277
BaseRepresentation
bin1011010011001000101001
312120111001021
423103020221
51224240321
6143252441
734114312
oct13231051
95514037
102961961
111743402
12baa121
137c9252
14571609
153d7941
hex2d3229

2961961 has 12 divisors (see below), whose sum is σ = 3243148. Its totient is φ = 2702592.

The previous prime is 2961953. The next prime is 2961979. The reversal of 2961961 is 1691692.

It can be written as a sum of positive squares in 6 ways, for example, as 337561 + 2624400 = 581^2 + 1620^2 .

It is not a de Polignac number, because 2961961 - 23 = 2961953 is a prime.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2961901) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10555 + ... + 10831.

22961961 is an apocalyptic number.

It is an amenable number.

2961961 is a deficient number, since it is larger than the sum of its proper divisors (281187).

2961961 is a wasteful number, since it uses less digits than its factorization.

2961961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 331 counting only the distinct ones).

The product of its digits is 5832, while the sum is 34.

The square root of 2961961 is about 1721.0348630984. The cubic root of 2961961 is about 143.6127875319.

The spelling of 2961961 in words is "two million, nine hundred sixty-one thousand, nine hundred sixty-one".

Divisors: 1 17 37 277 289 629 4709 10249 10693 80053 174233 2961961