153007 has 4 divisors (see below), whose sum is σ = 161080. Its totient is φ = 144936.

The previous prime is 153001. The next prime is 153059. The reversal of 153007 is 700351.

153007 = 44² + 45² + ... + 81².

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 700351 = 67 ⋅10453.

It is a cyclic number.

It is not a de Polignac number, because 153007 - 2⁷ = 152879 is a prime.

It is a super-2 number, since 2×153007² = 46822284098, which contains 22 as substring.

It is a Duffinian number.

153007 is a lucky number.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153001) 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 3 ways as a sum of consecutive naturals, for example, 4008 + ... + 4045.

It is an arithmetic number, because the mean of its divisors is an integer number (40270).

2¹⁵³⁰⁰⁷ is an apocalyptic number.

153007 is a deficient number, since it is larger than the sum of its proper divisors (8073).

153007 is an equidigital number, since it uses as much as digits as its factorization.

153007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8072.

The product of its (nonzero) digits is 105, while the sum is 16.

The square root of 153007 is about 391.1610921347. The cubic root of 153007 is about 53.4856280725.

Adding to 153007 its reverse (700351), we get a palindrome (853358).

The spelling of 153007 in words is "one hundred fifty-three thousand, seven".