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96961431 = 3743107377
BaseRepresentation
bin1011100011110…
…00001110010111
320202110011002010
411301320032113
5144310231211
613342115303
72255105250
oct561701627
9222404063
1096961431
114a806616
122857bb33
131711b738
14cc3db27
1587a44a6
hex5c78397

96961431 has 16 divisors (see below), whose sum is σ = 151188224. Its totient is φ = 54117504.

The previous prime is 96961409. The next prime is 96961439. The reversal of 96961431 is 13416969.

It is not a de Polignac number, because 96961431 - 210 = 96960407 is a prime.

It is a super-3 number, since 3×969614313 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 96961431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96961439) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52786 + ... + 54591.

It is an arithmetic number, because the mean of its divisors is an integer number (9449264).

Almost surely, 296961431 is an apocalyptic number.

96961431 is a deficient number, since it is larger than the sum of its proper divisors (54226793).

96961431 is a wasteful number, since it uses less digits than its factorization.

96961431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107430.

The product of its digits is 34992, while the sum is 39.

The square root of 96961431 is about 9846.8995628066. The cubic root of 96961431 is about 459.4091832030.

The spelling of 96961431 in words is "ninety-six million, nine hundred sixty-one thousand, four hundred thirty-one".

Divisors: 1 3 7 21 43 129 301 903 107377 322131 751639 2254917 4617211 13851633 32320477 96961431