712614 has 48 divisors (see below), whose sum is σ = 1755648. Its totient is φ = 188784.

The previous prime is 712603. The next prime is 712631. The reversal of 712614 is 416217.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 712614.

It is an unprimeable number.

712614 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15139 + ... + 15185.

It is an arithmetic number, because the mean of its divisors is an integer number (36576).

2⁷¹²⁶¹⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 712614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877824).

712614 is an abundant number, since it is smaller than the sum of its proper divisors (1043034).

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

712614 is a wasteful number, since it uses less digits than its factorization.

712614 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 78 counting only the distinct ones).

The product of its digits is 336, while the sum is 21.

The square root of 712614 is about 844.1646758779. The cubic root of 712614 is about 89.3205626407.

It can be divided in two parts, 7126 and 14, that added together give a triangular number (7140 = T₁₁₉).

The spelling of 712614 in words is "seven hundred twelve thousand, six hundred fourteen".