6965712 has 90 divisors (see below), whose sum is σ = 21343686. Its totient is φ = 2108160.

The previous prime is 6965701. The next prime is 6965753. The reversal of 6965712 is 2175696.

It can be written as a sum of positive squares in 3 ways, for example, as 1089936 + 5875776 = 1044^2 + 2424^2 .

It is a super-2 number, since 2×6965712² = 97042287333888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 114162 + ... + 114222.

Almost surely, 2^6965712 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 6965712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10671843).

6965712 is an abundant number, since it is smaller than the sum of its proper divisors (14377974).

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

6965712 is a wasteful number, since it uses less digits than its factorization.

6965712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 79 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 6965712 is about 2639.2635336396. The cubic root of 6965712 is about 190.9802707982.

The spelling of 6965712 in words is "six million, nine hundred sixty-five thousand, seven hundred twelve".