1007055 has 48 divisors (see below), whose sum is σ = 2096640. Its totient is φ = 437184.

The previous prime is 1007047. The next prime is 1007059. The reversal of 1007055 is 5507001.

It is a happy number.

It is not a de Polignac number, because 1007055 - 2³ = 1007047 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007059) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7176 + ... + 7314.

It is an arithmetic number, because the mean of its divisors is an integer number (43680).

2^1007055 is an apocalyptic number.

1007055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1007055 is an abundant number, since it is smaller than the sum of its proper divisors (1089585).

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

1007055 is a wasteful number, since it uses less digits than its factorization.

1007055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 175, while the sum is 18.

The square root of 1007055 is about 1003.5213002224. The cubic root of 1007055 is about 100.2346157905.

The spelling of 1007055 in words is "one million, seven thousand, fifty-five".