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961121953 = 112337102673
BaseRepresentation
bin111001010010011…
…000111010100001
32110222112001110101
4321102120322201
53432021400303
6235212102401
732550254551
oct7122307241
92428461411
10961121953
1145358a170
12229a64a01
1312417721c
149190b161
15595a1d1d
hex39498ea1

961121953 has 16 divisors (see below), whose sum is σ = 1123664256. Its totient is φ = 813162240.

The previous prime is 961121951. The next prime is 961121963. The reversal of 961121953 is 359121169.

It is a happy number.

It is the 12657-th star number.

It is not a de Polignac number, because 961121953 - 21 = 961121951 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (961121951) 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, 41976 + ... + 60697.

It is an arithmetic number, because the mean of its divisors is an integer number (70229016).

Almost surely, 2961121953 is an apocalyptic number.

It is an amenable number.

961121953 is a deficient number, since it is larger than the sum of its proper divisors (162542303).

961121953 is a wasteful number, since it uses less digits than its factorization.

961121953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102744.

The product of its digits is 14580, while the sum is 37.

The square root of 961121953 is about 31001.9669214713. The cubic root of 961121953 is about 986.8689820673.

The spelling of 961121953 in words is "nine hundred sixty-one million, one hundred twenty-one thousand, nine hundred fifty-three".

Divisors: 1 11 23 37 253 407 851 9361 102673 1129403 2361479 3798901 25976269 41787911 87374723 961121953