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65964541 = 1131374261
BaseRepresentation
bin1111101110100…
…0100111111101
311121010100100011
43323220213331
5113341331131
610313503221
71430455306
oct373504775
9147110304
1065964541
1134265155
121a111b11
1310887a96
148a917ad
155bd00b1
hex3ee89fd

65964541 has 8 divisors (see below), whose sum is σ = 67049784. Its totient is φ = 64888320.

The previous prime is 65964533. The next prime is 65964551. The reversal of 65964541 is 14546956.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10536516 + 55428025 = 3246^2 + 7445^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 65964541 - 23 = 65964533 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 65964494 and 65964503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65964551) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13351 + ... + 17611.

It is an arithmetic number, because the mean of its divisors is an integer number (8381223).

Almost surely, 265964541 is an apocalyptic number.

It is an amenable number.

65964541 is a deficient number, since it is larger than the sum of its proper divisors (1085243).

65964541 is a wasteful number, since it uses less digits than its factorization.

65964541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4511.

The product of its digits is 129600, while the sum is 40.

The square root of 65964541 is about 8121.8557608468. The cubic root of 65964541 is about 404.0516162035.

The spelling of 65964541 in words is "sixty-five million, nine hundred sixty-four thousand, five hundred forty-one".

Divisors: 1 113 137 4261 15481 481493 583757 65964541