677322 has 40 divisors (see below), whose sum is σ = 1572516. Its totient is φ = 217728.

The previous prime is 677321. The next prime is 677323. The reversal of 677322 is 223776.

677322 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (677321) and next prime (677323).

It can be written as a sum of positive squares in 2 ways, for example, as 670761 + 6561 = 819^2 + 81^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (677321) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5938 + ... + 6050.

2⁶⁷⁷³²² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 677322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786258).

677322 is an abundant number, since it is smaller than the sum of its proper divisors (895194).

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

677322 is a wasteful number, since it uses less digits than its factorization.

677322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 155 counting only the distinct ones).

The product of its digits is 3528, while the sum is 27.

The square root of 677322 is about 822.9957472551. The cubic root of 677322 is about 87.8210032376.

It can be divided in two parts, 677 and 322, that added together give a palindrome (999).

The spelling of 677322 in words is "six hundred seventy-seven thousand, three hundred twenty-two".