65122016 has 36 divisors (see below), whose sum is σ = 134060472. Its totient is φ = 31137216.

The previous prime is 65121977. The next prime is 65122027. The reversal of 65122016 is 61022156.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 65121982 and 65122000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15005 + ... + 18851.

It is an arithmetic number, because the mean of its divisors is an integer number (3723902).

Almost surely, 2^65122016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65122016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67030236).

65122016 is an abundant number, since it is smaller than the sum of its proper divisors (68938456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

65122016 is a wasteful number, since it uses less digits than its factorization.

65122016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3903 (or 3872 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 65122016 is about 8069.8213115285. The cubic root of 65122016 is about 402.3240046890.

The spelling of 65122016 in words is "sixty-five million, one hundred twenty-two thousand, sixteen".