706251 has 24 divisors (see below), whose sum is σ = 1171200. Its totient is φ = 370656.

The previous prime is 706229. The next prime is 706253. The reversal of 706251 is 152607.

It is not a de Polignac number, because 706251 - 2¹⁴ = 689867 is a prime.

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 706251.

It is not an unprimeable number, because it can be changed into a prime (706253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3450 + ... + 3648.

It is an arithmetic number, because the mean of its divisors is an integer number (48800).

2⁷⁰⁶²⁵¹ is an apocalyptic number.

706251 is a deficient number, since it is larger than the sum of its proper divisors (464949).

706251 is a wasteful number, since it uses less digits than its factorization.

706251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 706251 is about 840.3874106625. The cubic root of 706251 is about 89.0539167475.

Adding to 706251 its reverse (152607), we get a palindrome (858858).

The spelling of 706251 in words is "seven hundred six thousand, two hundred fifty-one".